Question

Asked Feb 18, 2019

Suppose that the demand function for a certain product is

q = 400 - 4p

(a) Enter the equation for revenue R as a function of price p

(b) What is the (instantaneous) rate of change of revenue with respect to price when the price is $ 14?

(c) At what price is the derivative of revenue with respect to price exactly zero?

Step 1

*Given:*

The demand function is *q = 400-4p.*

Step 2

(a)

Obtain the revenue function.

*Calculation:*

__ __In general the revenue function is represented in the form of *R = pq*, where *p* is the price per item and *q* is the demand function.

Thus, the revenue function for the given demand function is *R = p(*400−4*p)*.

Thus, the revenue function is *R = *400*p*−4*p ^{2}.*

Step 3

(b)

Calculate the rate of change of revenue with respect to the price when the price is $14.

*Calculation:*

Derivate ...

Tagged in

Q: Use the graph of f` and f`` to find the critical points and inflection points of f, the intervals on...

A: The graph of f’ and f’’ is given,

Q: Find the area of the region that lies inside both curves. r = 9 + cos(θ), r = 9 − cos(θ)

A: To calculate the area of the given region (by integration) described by polar coordinates

Q: Suppose that the rate at which the concentration of a drug in the blood changes with respect to time...

A: Given:The rate of change of concentration of a drug in blood with respect to time t is

Q: Find the derivative of y with respect to x

A: we are given an inverse function

Q: FIND THE DERIVATIVE OF THE FUNCTIONy=0.6e to the fifth(x) degree

A: The given function "y" is shown on the white board. We need to find its derivative. Before we get in...

Q: I need help on how to contruct the definite integral needed to find the area of the geometric shape ...

A: Formula of area of triangle is = (1/2)*b*h, where b=base, h=height

Q: Please help me about this.

A: The radius of convergence is 4 which can be computed as follows.

Q: Given the marginal cost function C’(x) = 3x2 – 6x, find the cost to produce x items if the fixed cos...

A: We are given marginal cost

Q: This is #1

A: Part (a)Consider an object moving along a line with the velocity and initial position.